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Duality and conformal structure Public Deposited

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  • In four dimensions, two metrics that are conformally related define the same Hodge dual operator on the space of two‐forms. The converse, namely, that two metrics that have the same Hodge dual are conformally related, is established. This is true for metrics of arbitrary (nondegenerate) signature. For Euclidean signature a stronger result, namely, that the conformal class of the metric is completely determined by choosing a dual operator on two‐forms satisfying certain conditions, is proved.
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  • Dray, T., Kulkarni, R., & Samuel, J. (1989). Duality and conformal structure. Journal of Mathematical Physics, 30(6), 1306-1309.
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  • 30
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  • 6
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  • TD gratefully acknowledges an Indo-American fellowship, funded jointly by the NSF and the USIA in the United States and by the UGC in India.
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